Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/504, 82/913, 614/692 quickly i.e. 805568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/504, 82/913, 614/692 is 805568.
LCM(64/504, 82/913, 614/692) = 805568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/504,82/913,614/692
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 64,82,614
Least Common Multiple of Numerators i.e. LCM of 64,82,614 is 805568.
GCF of Denominators means GCF of 504,913,692 as per the given fractions.
GCF of 504,913,692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,82,614
2 | 64, 82, 614 |
32, 41, 307 |
∴ So the LCM of the given numbers is 2 x 32 x 41 x 307 = 805568
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 64,82,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,82,614) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(64,82,614) x common factors =2 x 2 = 4
LCM(64,82,614) = ( 64 × 82 × 614 ) / 4
LCM(64,82,614) = 3222272 / 4
LCM(64,82,614) = 805568
Lets's calculate GCF of 504,913,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805568/1
Therefore the LCM of Fractions 64/504,82/913,614/692 is 805568
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 504,913,692 . The biggest common factor number is the GCF number.
So the greatest common factor 504,913,692 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 64/504, 82/913, 614/692?
Answer: LCM of Numerators as per given numbers 64/504, 82/913, 614/692 is
LCM of Numerators i.e. for 64,82,614 is 805568
GCF of denominators i.e. for 504,913,692 is 1.
Thus, LCM of Fractions is 805568.Finally, LCM of Fractions for 64/504, 82/913, 614/692 is 805568.